361965 has 16 divisors (see below), whose sum is σ = 590400. Its totient is φ = 189312.

The previous prime is 361961. The next prime is 361967. The reversal of 361965 is 569163.

It is a happy number.

It is not a de Polignac number, because 361965 - 2² = 361961 is a prime.

It is a super-2 number, since 2×361965² = 262037322450, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361965.

It is not an unprimeable number, because it can be changed into a prime (361961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2³⁶¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

361965 is a deficient number, since it is larger than the sum of its proper divisors (228435).

361965 is a wasteful number, since it uses less digits than its factorization.

361965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its digits is 4860, while the sum is 30.

The square root of 361965 is about 601.6352715724. The cubic root of 361965 is about 71.2670627033.

It can be divided in two parts, 361 and 965, that added together give a triangular number (1326 = T₅₁).

The spelling of 361965 in words is "three hundred sixty-one thousand, nine hundred sixty-five".